Answer
$$\color{blue}{\bf{ -7 }}$$
Work Step by Step
We are given the two functions $\bf{f}$ and $\bf{g}$
$\bf{f(x) = x^2 + 3}$ and $\bf{g(x) = -2x + 6}$
and asked to find $\bf{( \frac{f}{g} )( 5 )}=\frac{f(5)}{g(5)}$
$\frac{ 5^2 + 3 }{ -2(5) + 6 }$
$\frac{ 25 + 3 }{ -10 + 6 }$
$\frac{ 28 }{ -4 }$
$-7$
$$\color{blue}{\bf{ -7 }}$$